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Finding the Third Proportional to 57,863 and 126,823

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Solution

The third proportional to 57,863 and 126,823 is: 277,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,863 : 126,823 = 126,823 : x
  2. Step 2: Convert to fraction form
    57,863/126,823 = 126,823/x
  3. Step 3: Cross multiply
    57,863x = 126,823 × 126,823
  4. Step 4: Simplify right side
    57,863x = 16,084,073,329
  5. Step 5: Solve for x
    x = 16,084,073,329/57,863
  6. Step 6: Final answer
    x = 277,968.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.